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Simplifying 11(t + -5) + 7t = 6(3t + 4) + -13 Reorder the terms: 11(-5 + t) + 7t = 6(3t + 4) + -13 (-5 * 11 + t * 11) + 7t = 6(3t + 4) + -13 (-55 + 11t) + 7t = 6(3t + 4) + -13 Combine like terms: 11t + 7t = 18t -55 + 18t = 6(3t + 4) + -13 Reorder the terms: -55 + 18t = 6(4 + 3t) + -13 -55 + 18t = (4 * 6 + 3t * 6) + -13 -55 + 18t = (24 + 18t) + -13 Reorder the terms: -55 + 18t = 24 + -13 + 18t Combine like terms: 24 + -13 = 11 -55 + 18t = 11 + 18t Add '-18t' to each side of the equation. -55 + 18t + -18t = 11 + 18t + -18t Combine like terms: 18t + -18t = 0 -55 + 0 = 11 + 18t + -18t -55 = 11 + 18t + -18t Combine like terms: 18t + -18t = 0 -55 = 11 + 0 -55 = 11 Solving -55 = 11 Couldn't find a variable to solve for. This equation is invalid, the left and right sides are not equal, therefore there is no solution.
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